HEAT+MASS TRANSFER:FUND...-CONNECTPLUS
6th Edition
ISBN: 9781260439991
Author: CENGEL
Publisher: MCG
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Chapter 7, Problem 2CP
What is drag? What causes it? Why do we usually try to minimize it?
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m₂ = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁(t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Chapter 7 Solutions
HEAT+MASS TRANSFER:FUND...-CONNECTPLUS
Ch. 7 - What is the difference between the upstream...Ch. 7 - What is drag? What causes it? Why do we usually...Ch. 7 - Define the frontal area of a body subjected to...Ch. 7 - Air at 25C and 1 atm is flowing over a long flat...Ch. 7 - Air at 15C and 1 atm flows over a 0.3-m-wide plate...Ch. 7 - Water at 43.3C flows over a large plate at a...Ch. 7 - Prob. 57PCh. 7 - Prob. 97PCh. 7 - Prob. 102P
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